ALWAYS USABLE LIMITED-LENGTH SEQUENTIAL PERMUTATION TESTS FOR TWO-WAY ANOVA

摘要

The data are independent observations from two or more sources. Under the null hypothesis, observations from the same source have a common unknown distribution (can be arbitrary). Observations are obtained in successive groups each containing a set of specified size from each source, with a stated maximum number of groups available. An overall test consists of a succession of subtests and is significant when at least one subtest is significant. Exact null probabilities are obtainable, through use of appropriate permutation models and special kinds of subtest statistics. The subtests are such that the significance level of each new subtest is independent of preceding subtest results. The overall test terminates when a significant subtest occurs (with saving in time and expense).